122031648 has 72 divisors (see below), whose sum is σ = 349093836. Its totient is φ = 40435200.

The previous prime is 122031641. The next prime is 122031649. The reversal of 122031648 is 846130221.

122031648 is a `hidden beast` number, since 12 + 2 + 0 + 3 + 1 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 8225424 = 10668^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×122031648² = 29783446227191808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122031641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50958 + ... + 53298.

Almost surely, 2^122031648 is an apocalyptic number.

122031648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122031648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174546918).

122031648 is an abundant number, since it is smaller than the sum of its proper divisors (227062188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122031648 is a wasteful number, since it uses less digits than its factorization.

122031648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122031648 is about 11046.7935619346. The cubic root of 122031648 is about 496.0104489648.

Adding to 122031648 its reverse (846130221), we get a palindrome (968161869).

The spelling of 122031648 in words is "one hundred twenty-two million, thirty-one thousand, six hundred forty-eight".